For Fannie Belle Garrett, this marriage index entry includes her parents' names:
"Illinois, County Marriages, 1810-1940," database, FamilySearch(https://familysearch.org/ark:/61903/1:1:KFKQ-Q43 : 3 March 2016), Carson L. Williams and Fannie Belle Garrett, 02 Apr 1882; citing Hancock, Illinois, United States, county offices, Illinois; FHL microfilm 954,181.
Based on the following census records, it appears her father likely died when she was young and her mother remarried:
"United States Census, 1870," database with images, FamilySearch(https://familysearch.org/ark:/61903/1:1:M64Q-8NB : 12 April 2016), Fannie Garret in household of Mildred Garret, Illinois, United States; citing p. 33, family 210, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 545,726.
"United States Census, 1880," database with images, FamilySearch(https://familysearch.org/ark:/61903/1:1:MXJG-9VC : 13 August 2016), Fannie B Garret in household of William Abbot, Prairie, Hancock, Illinois, United States; citing enumeration district ED 77, sheet 234A, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0211; FHL microfilm 1,254,211.